Let's say X is a continuous random variable: say $X \sim Uniform(0,n)$ for some n.
Let's say Y is a discrete random variable: say $Y \sim Binomial(n,p)$ for that same n and some $ 0 \le p \le 1 $.
Would it make sense to compare these distributions to each other? For example, how would one go about finding $P(X\le Y)$? There's not really a common "area of integration" or something to link them together (via double integral). Since both X and Y are independent, I can't see how one RV's value would matter for the other either.